# Equation of a Straight Line

## An online exercise about the equation y=mx+c and the features of a straight line graph.

##### Graph MatchLevel 1Level 2Exam-StyleDescriptionHelpMore Graphs

This is level 2: parallel and perpendicular lines You can earn a trophy if you get at least 7 questions correct and you do this activity online.

 1. The line segment AB is parallel to the x-axis. If A is (4,7) and B is (7,p), find the value of p. 2. The line segment CD is parallel to the y-axis. If C is (5,4) and B is (q,8), find the value of q. 3. What is the gradient of the line parallel to the line $$y=8x-7$$ ? 4. What is the gradient of the line parallel to the line $$3y+12x=5$$ ? 5. Find the equation of the line that is parallel to $$y=7-2x$$ and passes through the point (8,-2). Give your answer in the form $$y=mx+c$$ 6. What is the gradient of the line perpendicular to the line $$3y=x+7$$ ? 7. What is the gradient of the line perpendicular to the line $$6y+2x-3=0$$ ? 8. Find the equation of the line that is perpendicular to $$y=x-3$$ and passes through the point (4,3) Give your answer in the form $$y=mx+c$$ 9. Find the equation of the line that is perpendicular to $$5x+7y-12=0$$ and passes through the point (2,2) Give your answer in the form $$ax+by+c=0$$ where a,b and c are integers 10. If A is (3,6) and B is (4,1), find the equation of the line which passes through A, and is perpendicular to the line passing through both A and B. Give your answer in the form $$ax+by+c=0$$ where a,b and c are integers
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This is Equation of a Straight Line level 2. You can also try:
Gradient Graph Match Level 1

## Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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#### Striped Sweets

Colour the sweet wrappers so that no two are the same. A multi-level activity designed to encourage a systematic strategy for finding all of the different permutations.

## Answers

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## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

## Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

## Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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© Transum Mathematics :: This activity can be found online at:
www.transum.org/Maths/Exercise/Graph/Default.asp?Level=2

## Description of Levels

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Level 1 - The equation of a straight line

Level 2 - Parallel and perpendicular lines

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

More on this topic including lesson Starters, visual aids and investigations.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

## Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

## Example

The video above is from the wonderful Corbettmaths.

For Level 2 you will need to know the following:

• If two lines are parallel they will have the same gradient.
• If two lines are perpendicular the gradient of one will be the negative reciprocal of the gradient of the other.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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